The impulse of the dodgeball hitting a person in the face with an initial velocity of 10 m/s and final velocity of 5 m/s is -15 kg m/s.
The impulse of the dodgeball hitting a person in the face can be calculated using the equation: J = ΔP = m(v_f - v_i)
Given that the initial velocity (v_i) of the dodgeball is 10 m/s and the final velocity (v_f) after hitting the person is 5 m/s, we can substitute these values into the equation.
J = 3 kg(5 m/s - 10 m/s) = 3 kg(-5 m/s) = -15 kg m/s
Therefore, the impulse of the dodgeball hitting the person in the face is -15 kg m/s.